Yazarlar |
Kamaljeet Gangania
|
Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye |
Özet |
Let Jξ(z) denotes the Bessel function of the first kind of order ξ. For three different kinds of normalizations of Nξ(z)=az2Jξ″(z)+bzJξ′(z)+cJξ(z), we find the radius for Ma–Minda classes: S∗φ-radii and Cφ-radii. We further establish the radii of γ-spirallike of order α and convex γ-spirallike of order α of these normalized functions. As an application of our results, we derive sufficient conditions for the Nξ(z) to be a member of the unified subclasses of starlike and convex functions. The obtained radii are sharp. |
Anahtar Kelimeler |
30C15 | 30C45 | Bessel functions | Ma–Minda classes | Radius problems | Starlikeness and convexity | γ-Spirallike functions |
Makale Türü | Özgün Makale |
Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
Dergi Adı | The Journal of Analysis |
Dergi ISSN | 0971-3611 |
Dergi Tarandığı Indeksler | ESCI |
Makale Dili | İngilizce |
Basım Tarihi | 10-2024 |
Cilt No | 32 |
Sayı | 5 |
Sayfalar | 2463 / 2484 |
Doi Numarası | 10.1007/s41478-024-00737-0 |
Makale Linki | http://dx.doi.org/10.1007/s41478-024-00737-0 |
Atıf Sayıları | |
WoS | 1 |
SCOPUS | 1 |
Google Scholar | 1 |